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Finding the Fourth Proportional to 493.30, 738.52 and 346.86

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Solution

The fourth proportional to 493.30, 738.52 and 346.86 is: 519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.30 : 738.52 = 346.86 : x
  2. Step 2: Convert to fraction form
    493.30/738.52 = 346.86/x
  3. Step 3: Cross multiply
    493.30x = 738.52 × 346.86
  4. Step 4: Simplify right side
    493.30x = 256,163.05
  5. Step 5: Solve for x
    x = 256,163.05/493.30
  6. Step 6: Final answer
    x = 519.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.